29 into 18 best min fragment found: 29/4
  Cut up 29 sticks of length 18 like this:
    1 x (35/4 + 37/4)
    1 x (33/4 + 39/4)
    2 x (8 + 10)
    2 x (31/4 + 41/4)
    7 x (15/2 + 21/2)
    16 x (29/4 + 43/4)
  Reassemble as 18 sticks of length 29 like this:
    1 x (37/4 + 39/4 + 10)
    1 x (35/4 + 10 + 41/4)
    1 x (33/4 + 41/4 + 21/2)
    2 x (8 + 21/2 + 21/2)
    2 x (31/4 + 21/2 + 43/4)
    7 x (15/2 + 43/4 + 43/4)
    4 x (29/4 + 29/4 + 29/4 + 29/4)